Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
180 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 73 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #17989677 | C2 | semidirect |
| 3. #17989676 | C2 | semidirect |
| 27. C2×#10596831 | C8 | semidirect |
| 28. C8×D73 | C8 | semidirect |
| 29. C8×D73 | C8 | semidirect |
| 32. C2×C8×C73 | C8 | semidirect |
| 72. C73 | #1564 | semidirect |
| 100. C2×C8 | #10596842 | semidirect |